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"…the so called quinarian approach to classification that was embodied in the work of British entomologist named William Sharpe Macleay (1792-1840) but taken up almost immediately by others, principally Nicholas Aylward Vigors (1787-1840) and William Swainson (1789-1855) during the 1820s and 30s. They somehow came to believe that living things existed in natural groups of five, that such groups of five are naturally divisible into five subgroups, each subgroup into five sub-subgroups, and so on. Affinities among taxa formed circular chains…Quinarians were also convinced that similarities between taxa based on affinity as well as analogy could be indicated in the same diagram…"
“I too play with symbols and have planned a little work, Geometric Cabala, which is about the Ideas of natural things in geometry; but I play in such a way that I do not forget that I am playing. For nothing is proved by symbols; things already known are merely fitted [to them]; unless by sure reasons it can be demonstrated that they are not merely symbolic but are descriptions of the ways in which the two things are connected and of the causes of these connections.” (Kepler)